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55456011081 = 32784972
BaseRepresentation
bin110011101001011011…
…111001001101001001
312022010211021020210100
4303221123321031021
51402033214323311
641250502440013
74002152213412
oct635133711511
9168124236710
1055456011081
1121578521a19
12a8b8133009
1352ca221353
1429811b6809
151698875a56
hexce96f9349

55456011081 has 9 divisors (see below), whose sum is σ = 80104147591. Its totient is φ = 36970203072.

The previous prime is 55456011059. The next prime is 55456011217. The reversal of 55456011081 is 18011065455.

The square root of 55456011081 is 235491.

It is a perfect power (a square), and thus also a powerful number.

55456011081 is a `hidden beast` number, since 5 + 5 + 4 + 560 + 1 + 10 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9738729225 + 45717281856 = 98685^2 + 213816^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 55456011081 - 215 = 55455978313 is a prime.

It is a super-4 number, since 4×554560110814 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55456011031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 667225 + ... + 745721.

Almost surely, 255456011081 is an apocalyptic number.

55456011081 is the 235491-st square number.

55456011081 is the 117746-th centered octagonal number.

It is an amenable number.

55456011081 is a deficient number, since it is larger than the sum of its proper divisors (24648136510).

55456011081 is an frugal number, since it uses more digits than its factorization.

55456011081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157000 (or 78500 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Multiplying 55456011081 by its sum of digits (36), we get a square (1996416398916 = 14129462).

The spelling of 55456011081 in words is "fifty-five billion, four hundred fifty-six million, eleven thousand, eighty-one".

Divisors: 1 3 9 78497 235491 706473 6161779009 18485337027 55456011081